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Finding the Fourth Proportional to 16,139.39, 24,215.90 and 12,448.82

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Solution

The fourth proportional to 16,139.39, 24,215.90 and 12,448.82 is: 18,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.39 : 24,215.90 = 12,448.82 : x
  2. Step 2: Convert to fraction form
    16,139.39/24,215.90 = 12,448.82/x
  3. Step 3: Cross multiply
    16,139.39x = 24,215.90 × 12,448.82
  4. Step 4: Simplify right side
    16,139.39x = 301,459,378.53
  5. Step 5: Solve for x
    x = 301,459,378.53/16,139.39
  6. Step 6: Final answer
    x = 18,678.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.